5119100 has 72 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1713600.

The previous prime is 5119097. The next prime is 5119117. The reversal of 5119100 is 19115.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49649 + ... + 49751.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^5119100 is an apocalyptic number.

5119100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5119100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

5119100 is an abundant number, since it is smaller than the sum of its proper divisors (7880068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5119100 is a wasteful number, since it uses less digits than its factorization.

5119100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 5119100 is about 2262.5428172744. The cubic root of 5119100 is about 172.3446756982.

The spelling of 5119100 in words is "five million, one hundred nineteen thousand, one hundred".